Speed of reaction-diffusion fronts in spatially heterogeneous media

Vicenç Méndez, Joaquim Fort, Horacio G. Rotstein, Sergei Fedotov

Research output: Contribution to journalArticlepeer-review

33 Scopus citations

Abstract

The effects of deterministic heterogeneities on the front speed of parabolic reaction-diffusion equations were studied. Analytic expressions were derived for the speed of fronts that are valid for initially fully developed fronts or for more general initial conditions. The geometrical method of Hamilton-Jacobi was used along with the singular perturbative analysis to find the speed of the fronts propagating in the deterministic heterogeneous media. The results also show that for nonuniform reaction rate both singular perturbative and Hamilton-Jacobi are in better agreement with numerical results than the local speed approach.

Original languageEnglish (US)
Article number041105
Pages (from-to)411051-4110511
Number of pages3699461
JournalPhysical Review E - Statistical, Nonlinear, and Soft Matter Physics
Volume68
Issue number4 1
StatePublished - Oct 1 2003
Externally publishedYes

All Science Journal Classification (ASJC) codes

  • Statistical and Nonlinear Physics
  • Statistics and Probability
  • Condensed Matter Physics

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